Question

In a paragraph, explain what the domain and range is for the function, and how you found your answer: f(x) = x2 + 6x - 25.

Answer 1

Domain(-infinity,+infinity)

Range=f(x) >or= - 34

Explanation:

Domain for every parabola the domain is (-infinity, +infinity) unless there are any restrictions

Range we look at the y value of the maximum point or minimum points

We find it by finding the turning point

F'(x) =2x+6

0=2x+6

-6=2x

x=-3

F(-3)=(-3)^2+6(-3)-23

=-34

So all value that exist on the f(x) must be greater or =-34